What is the Least Common Multiple of 73616 and 73631?

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 73616 and 73631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73616 and 73631, than apply into the LCM equation.

GCF(73616,73631) = 1
LCM(73616,73631) = ( 73616 × 73631) / 1
LCM(73616,73631) = 5420419696 / 1
LCM(73616,73631) = 5420419696

Least Common Multiple (LCM) of 73616 and 73631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73616 and 73631. First we will calculate the prime factors of 73616 and 73631.

Prime Factorization of 73616

Prime Factorization of 73631

Now multiplying the highest exponent prime factors to calculate the LCM of 73616 and 73631.

LCM(73616,73631) = 2⁴ × 43¹ × 107¹ × 29¹ × 2539¹
LCM(73616,73631) = 5420419696