What is the Least Common Multiple of 62620 and 62634?

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 62620 and 62634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62620 and 62634, than apply into the LCM equation.

GCF(62620,62634) = 2
LCM(62620,62634) = ( 62620 × 62634) / 2
LCM(62620,62634) = 3922141080 / 2
LCM(62620,62634) = 1961070540

Least Common Multiple (LCM) of 62620 and 62634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62620 and 62634. First we will calculate the prime factors of 62620 and 62634.

Prime Factorization of 62620

Prime Factorization of 62634

Now multiplying the highest exponent prime factors to calculate the LCM of 62620 and 62634.

LCM(62620,62634) = 2² × 5¹ × 31¹ × 101¹ × 3¹ × 11¹ × 13¹ × 73¹
LCM(62620,62634) = 1961070540