What is the Least Common Multiple of 35616 and 35628?

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 35616 and 35628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35616 and 35628, than apply into the LCM equation.

GCF(35616,35628) = 12
LCM(35616,35628) = ( 35616 × 35628) / 12
LCM(35616,35628) = 1268926848 / 12
LCM(35616,35628) = 105743904

Least Common Multiple (LCM) of 35616 and 35628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35616 and 35628. First we will calculate the prime factors of 35616 and 35628.

Prime Factorization of 35616

Prime Factorization of 35628

Now multiplying the highest exponent prime factors to calculate the LCM of 35616 and 35628.

LCM(35616,35628) = 2⁵ × 3¹ × 7¹ × 53¹ × 2969¹
LCM(35616,35628) = 105743904