What is the Least Common Multiple of 59948 and 59962?

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 59948 and 59962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59948 and 59962, than apply into the LCM equation.

GCF(59948,59962) = 14
LCM(59948,59962) = ( 59948 × 59962) / 14
LCM(59948,59962) = 3594601976 / 14
LCM(59948,59962) = 256757284

Least Common Multiple (LCM) of 59948 and 59962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59948 and 59962. First we will calculate the prime factors of 59948 and 59962.

Prime Factorization of 59948

Prime Factorization of 59962

Now multiplying the highest exponent prime factors to calculate the LCM of 59948 and 59962.

LCM(59948,59962) = 2² × 7¹ × 2141¹ × 4283¹
LCM(59948,59962) = 256757284