What is the Least Common Multiple of 52624 and 52632?

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 52624 and 52632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52624 and 52632, than apply into the LCM equation.

GCF(52624,52632) = 8
LCM(52624,52632) = ( 52624 × 52632) / 8
LCM(52624,52632) = 2769706368 / 8
LCM(52624,52632) = 346213296

Least Common Multiple (LCM) of 52624 and 52632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52624 and 52632. First we will calculate the prime factors of 52624 and 52632.

Prime Factorization of 52624

Prime Factorization of 52632

Now multiplying the highest exponent prime factors to calculate the LCM of 52624 and 52632.

LCM(52624,52632) = 2⁴ × 11¹ × 13¹ × 23¹ × 3² × 17¹ × 43¹
LCM(52624,52632) = 346213296