What is the Least Common Multiple of 62892 and 62907?

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 62892 and 62907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62892 and 62907, than apply into the LCM equation.

GCF(62892,62907) = 3
LCM(62892,62907) = ( 62892 × 62907) / 3
LCM(62892,62907) = 3956347044 / 3
LCM(62892,62907) = 1318782348

Least Common Multiple (LCM) of 62892 and 62907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62892 and 62907. First we will calculate the prime factors of 62892 and 62907.

Prime Factorization of 62892

Prime Factorization of 62907

Now multiplying the highest exponent prime factors to calculate the LCM of 62892 and 62907.

LCM(62892,62907) = 2² × 3² × 1747¹ × 13¹ × 1613¹
LCM(62892,62907) = 1318782348