What is the Least Common Multiple of 61635 and 61642?

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 of 61635 and 61642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61635 and 61642, than apply into the LCM equation.

GCF(61635,61642) = 7
LCM(61635,61642) = ( 61635 × 61642) / 7
LCM(61635,61642) = 3799304670 / 7
LCM(61635,61642) = 542757810

Least Common Multiple (LCM) of 61635 and 61642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61635 and 61642. First we will calculate the prime factors of 61635 and 61642.

Prime Factorization of 61635

Prime Factorization of 61642

Now multiplying the highest exponent prime factors to calculate the LCM of 61635 and 61642.

LCM(61635,61642) = 3¹ × 5¹ × 7² × 587¹ × 2¹ × 17¹ × 37¹
LCM(61635,61642) = 542757810