What is the Least Common Multiple of 39712 and 39720?

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 39712 and 39720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39712 and 39720, than apply into the LCM equation.

GCF(39712,39720) = 8
LCM(39712,39720) = ( 39712 × 39720) / 8
LCM(39712,39720) = 1577360640 / 8
LCM(39712,39720) = 197170080

Least Common Multiple (LCM) of 39712 and 39720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39712 and 39720. First we will calculate the prime factors of 39712 and 39720.

Prime Factorization of 39712

Prime Factorization of 39720

Now multiplying the highest exponent prime factors to calculate the LCM of 39712 and 39720.

LCM(39712,39720) = 2⁵ × 17¹ × 73¹ × 3¹ × 5¹ × 331¹
LCM(39712,39720) = 197170080