What is the Least Common Multiple of 62634 and 62646?

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 62634 and 62646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62634 and 62646, than apply into the LCM equation.

GCF(62634,62646) = 6
LCM(62634,62646) = ( 62634 × 62646) / 6
LCM(62634,62646) = 3923769564 / 6
LCM(62634,62646) = 653961594

Least Common Multiple (LCM) of 62634 and 62646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62634 and 62646. First we will calculate the prime factors of 62634 and 62646.

Prime Factorization of 62634

Prime Factorization of 62646

Now multiplying the highest exponent prime factors to calculate the LCM of 62634 and 62646.

LCM(62634,62646) = 2¹ × 3¹ × 11¹ × 13¹ × 73¹ × 53¹ × 197¹
LCM(62634,62646) = 653961594