What is the Least Common Multiple of 31616 and 31635?

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 31616 and 31635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31616 and 31635, than apply into the LCM equation.

GCF(31616,31635) = 19
LCM(31616,31635) = ( 31616 × 31635) / 19
LCM(31616,31635) = 1000172160 / 19
LCM(31616,31635) = 52640640

Least Common Multiple (LCM) of 31616 and 31635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31616 and 31635. First we will calculate the prime factors of 31616 and 31635.

Prime Factorization of 31616

Prime Factorization of 31635

Now multiplying the highest exponent prime factors to calculate the LCM of 31616 and 31635.

LCM(31616,31635) = 2⁷ × 13¹ × 19¹ × 3² × 5¹ × 37¹
LCM(31616,31635) = 52640640