What is the Least Common Multiple of 642 and 652?
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 642 and 652 is 209292.
LCM(642,652) = 209292
Least Common Multiple of 642 and 652 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 642 and 652, than apply into the LCM equation.
GCF(642,652) = 2
LCM(642,652) = ( 642 × 652) / 2
LCM(642,652) = 418584 / 2
LCM(642,652) = 209292
Least Common Multiple (LCM) of 642 and 652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 652. First we will calculate the prime factors of 642 and 652.
Prime Factorization of 642
Prime factors of 642 are 2, 3, 107. Prime factorization of 642 in exponential form is:
642 = 21 × 31 × 1071
Prime Factorization of 652
Prime factors of 652 are 2, 163. Prime factorization of 652 in exponential form is:
652 = 22 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 652.
LCM(642,652) = 22 × 31 × 1071 × 1631
LCM(642,652) = 209292
Related Least Common Multiples of 642
- LCM of 642 and 646
- LCM of 642 and 647
- LCM of 642 and 648
- LCM of 642 and 649
- LCM of 642 and 650
- LCM of 642 and 651
- LCM of 642 and 652
- LCM of 642 and 653
- LCM of 642 and 654
- LCM of 642 and 655
- LCM of 642 and 656
- LCM of 642 and 657
- LCM of 642 and 658
- LCM of 642 and 659
- LCM of 642 and 660
- LCM of 642 and 661
- LCM of 642 and 662
Related Least Common Multiples of 652
- LCM of 652 and 656
- LCM of 652 and 657
- LCM of 652 and 658
- LCM of 652 and 659
- LCM of 652 and 660
- LCM of 652 and 661
- LCM of 652 and 662
- LCM of 652 and 663
- LCM of 652 and 664
- LCM of 652 and 665
- LCM of 652 and 666
- LCM of 652 and 667
- LCM of 652 and 668
- LCM of 652 and 669
- LCM of 652 and 670
- LCM of 652 and 671
- LCM of 652 and 672