What is the Least Common Multiple of 62052 and 62067?

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 62052 and 62067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62052 and 62067, than apply into the LCM equation.

GCF(62052,62067) = 3
LCM(62052,62067) = ( 62052 × 62067) / 3
LCM(62052,62067) = 3851381484 / 3
LCM(62052,62067) = 1283793828

Least Common Multiple (LCM) of 62052 and 62067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62052 and 62067. First we will calculate the prime factors of 62052 and 62067.

Prime Factorization of 62052

Prime Factorization of 62067

Now multiplying the highest exponent prime factors to calculate the LCM of 62052 and 62067.

LCM(62052,62067) = 2² × 3¹ × 5171¹ × 17¹ × 1217¹
LCM(62052,62067) = 1283793828