What is the Least Common Multiple of 10605 and 10624?

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 10605 and 10624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10605 and 10624, than apply into the LCM equation.

GCF(10605,10624) = 1
LCM(10605,10624) = ( 10605 × 10624) / 1
LCM(10605,10624) = 112667520 / 1
LCM(10605,10624) = 112667520

Least Common Multiple (LCM) of 10605 and 10624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10605 and 10624. First we will calculate the prime factors of 10605 and 10624.

Prime Factorization of 10605

Prime Factorization of 10624

Now multiplying the highest exponent prime factors to calculate the LCM of 10605 and 10624.

LCM(10605,10624) = 3¹ × 5¹ × 7¹ × 101¹ × 2⁷ × 83¹
LCM(10605,10624) = 112667520