What is the Least Common Multiple of 87702 and 87720?

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 87702 and 87720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87702 and 87720, than apply into the LCM equation.

GCF(87702,87720) = 6
LCM(87702,87720) = ( 87702 × 87720) / 6
LCM(87702,87720) = 7693219440 / 6
LCM(87702,87720) = 1282203240

Least Common Multiple (LCM) of 87702 and 87720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87702 and 87720. First we will calculate the prime factors of 87702 and 87720.

Prime Factorization of 87702

Prime Factorization of 87720

Now multiplying the highest exponent prime factors to calculate the LCM of 87702 and 87720.

LCM(87702,87720) = 2³ × 3¹ × 47¹ × 311¹ × 5¹ × 17¹ × 43¹
LCM(87702,87720) = 1282203240