What is the Least Common Multiple of 68635 and 68642?

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 68635 and 68642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68635 and 68642, than apply into the LCM equation.

GCF(68635,68642) = 7
LCM(68635,68642) = ( 68635 × 68642) / 7
LCM(68635,68642) = 4711243670 / 7
LCM(68635,68642) = 673034810

Least Common Multiple (LCM) of 68635 and 68642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68635 and 68642. First we will calculate the prime factors of 68635 and 68642.

Prime Factorization of 68635

Prime Factorization of 68642

Now multiplying the highest exponent prime factors to calculate the LCM of 68635 and 68642.

LCM(68635,68642) = 5¹ × 7¹ × 37¹ × 53¹ × 2¹ × 4903¹
LCM(68635,68642) = 673034810