What is the Least Common Multiple of 59938 and 59948?

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 59938 and 59948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59938 and 59948, than apply into the LCM equation.

GCF(59938,59948) = 2
LCM(59938,59948) = ( 59938 × 59948) / 2
LCM(59938,59948) = 3593163224 / 2
LCM(59938,59948) = 1796581612

Least Common Multiple (LCM) of 59938 and 59948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59938 and 59948. First we will calculate the prime factors of 59938 and 59948.

Prime Factorization of 59938

Prime Factorization of 59948

Now multiplying the highest exponent prime factors to calculate the LCM of 59938 and 59948.

LCM(59938,59948) = 2² × 23¹ × 1303¹ × 7¹ × 2141¹
LCM(59938,59948) = 1796581612