What is the Least Common Multiple of 48609 and 48624?

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 48609 and 48624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48609 and 48624, than apply into the LCM equation.

GCF(48609,48624) = 3
LCM(48609,48624) = ( 48609 × 48624) / 3
LCM(48609,48624) = 2363564016 / 3
LCM(48609,48624) = 787854672

Least Common Multiple (LCM) of 48609 and 48624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48609 and 48624. First we will calculate the prime factors of 48609 and 48624.

Prime Factorization of 48609

Prime Factorization of 48624

Now multiplying the highest exponent prime factors to calculate the LCM of 48609 and 48624.

LCM(48609,48624) = 3² × 11¹ × 491¹ × 2⁴ × 1013¹
LCM(48609,48624) = 787854672