What is the Least Common Multiple of 48348 and 48356?

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 48348 and 48356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48348 and 48356, than apply into the LCM equation.

GCF(48348,48356) = 4
LCM(48348,48356) = ( 48348 × 48356) / 4
LCM(48348,48356) = 2337915888 / 4
LCM(48348,48356) = 584478972

Least Common Multiple (LCM) of 48348 and 48356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48348 and 48356. First we will calculate the prime factors of 48348 and 48356.

Prime Factorization of 48348

Prime Factorization of 48356

Now multiplying the highest exponent prime factors to calculate the LCM of 48348 and 48356.

LCM(48348,48356) = 2² × 3² × 17¹ × 79¹ × 7¹ × 11¹ × 157¹
LCM(48348,48356) = 584478972