What is the Least Common Multiple of 54646 and 54664?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 54646 and 54664 is 1493584472.
LCM(54646,54664) = 1493584472
Least Common Multiple of 54646 and 54664 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54646 and 54664, than apply into the LCM equation.
GCF(54646,54664) = 2
LCM(54646,54664) = ( 54646 × 54664) / 2
LCM(54646,54664) = 2987168944 / 2
LCM(54646,54664) = 1493584472
Least Common Multiple (LCM) of 54646 and 54664 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54646 and 54664. First we will calculate the prime factors of 54646 and 54664.
Prime Factorization of 54646
Prime factors of 54646 are 2, 89, 307. Prime factorization of 54646 in exponential form is:
54646 = 21 × 891 × 3071
Prime Factorization of 54664
Prime factors of 54664 are 2, 6833. Prime factorization of 54664 in exponential form is:
54664 = 23 × 68331
Now multiplying the highest exponent prime factors to calculate the LCM of 54646 and 54664.
LCM(54646,54664) = 23 × 891 × 3071 × 68331
LCM(54646,54664) = 1493584472
Related Least Common Multiples of 54646
- LCM of 54646 and 54650
- LCM of 54646 and 54651
- LCM of 54646 and 54652
- LCM of 54646 and 54653
- LCM of 54646 and 54654
- LCM of 54646 and 54655
- LCM of 54646 and 54656
- LCM of 54646 and 54657
- LCM of 54646 and 54658
- LCM of 54646 and 54659
- LCM of 54646 and 54660
- LCM of 54646 and 54661
- LCM of 54646 and 54662
- LCM of 54646 and 54663
- LCM of 54646 and 54664
- LCM of 54646 and 54665
- LCM of 54646 and 54666
Related Least Common Multiples of 54664
- LCM of 54664 and 54668
- LCM of 54664 and 54669
- LCM of 54664 and 54670
- LCM of 54664 and 54671
- LCM of 54664 and 54672
- LCM of 54664 and 54673
- LCM of 54664 and 54674
- LCM of 54664 and 54675
- LCM of 54664 and 54676
- LCM of 54664 and 54677
- LCM of 54664 and 54678
- LCM of 54664 and 54679
- LCM of 54664 and 54680
- LCM of 54664 and 54681
- LCM of 54664 and 54682
- LCM of 54664 and 54683
- LCM of 54664 and 54684