What is the Least Common Multiple of 62940 and 62955?

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 62940 and 62955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62940 and 62955, than apply into the LCM equation.

GCF(62940,62955) = 15
LCM(62940,62955) = ( 62940 × 62955) / 15
LCM(62940,62955) = 3962387700 / 15
LCM(62940,62955) = 264159180

Least Common Multiple (LCM) of 62940 and 62955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62940 and 62955. First we will calculate the prime factors of 62940 and 62955.

Prime Factorization of 62940

Prime Factorization of 62955

Now multiplying the highest exponent prime factors to calculate the LCM of 62940 and 62955.

LCM(62940,62955) = 2² × 3² × 5¹ × 1049¹ × 1399¹
LCM(62940,62955) = 264159180