What is the Least Common Multiple of 612 and 629?
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 612 and 629 is 22644.
LCM(612,629) = 22644
Least Common Multiple of 612 and 629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 612 and 629, than apply into the LCM equation.
GCF(612,629) = 17
LCM(612,629) = ( 612 × 629) / 17
LCM(612,629) = 384948 / 17
LCM(612,629) = 22644
Least Common Multiple (LCM) of 612 and 629 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 629. First we will calculate the prime factors of 612 and 629.
Prime Factorization of 612
Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:
612 = 22 × 32 × 171
Prime Factorization of 629
Prime factors of 629 are 17, 37. Prime factorization of 629 in exponential form is:
629 = 171 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 629.
LCM(612,629) = 22 × 32 × 171 × 371
LCM(612,629) = 22644
Related Least Common Multiples of 612
- LCM of 612 and 616
- LCM of 612 and 617
- LCM of 612 and 618
- LCM of 612 and 619
- LCM of 612 and 620
- LCM of 612 and 621
- LCM of 612 and 622
- LCM of 612 and 623
- LCM of 612 and 624
- LCM of 612 and 625
- LCM of 612 and 626
- LCM of 612 and 627
- LCM of 612 and 628
- LCM of 612 and 629
- LCM of 612 and 630
- LCM of 612 and 631
- LCM of 612 and 632
Related Least Common Multiples of 629
- LCM of 629 and 633
- LCM of 629 and 634
- LCM of 629 and 635
- LCM of 629 and 636
- LCM of 629 and 637
- LCM of 629 and 638
- LCM of 629 and 639
- LCM of 629 and 640
- LCM of 629 and 641
- LCM of 629 and 642
- LCM of 629 and 643
- LCM of 629 and 644
- LCM of 629 and 645
- LCM of 629 and 646
- LCM of 629 and 647
- LCM of 629 and 648
- LCM of 629 and 649