What is the Least Common Multiple of 48612 and 48630?

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 48612 and 48630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48612 and 48630, than apply into the LCM equation.

GCF(48612,48630) = 6
LCM(48612,48630) = ( 48612 × 48630) / 6
LCM(48612,48630) = 2364001560 / 6
LCM(48612,48630) = 394000260

Least Common Multiple (LCM) of 48612 and 48630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48612 and 48630. First we will calculate the prime factors of 48612 and 48630.

Prime Factorization of 48612

Prime Factorization of 48630

Now multiplying the highest exponent prime factors to calculate the LCM of 48612 and 48630.

LCM(48612,48630) = 2² × 3¹ × 4051¹ × 5¹ × 1621¹
LCM(48612,48630) = 394000260