What is the Least Common Multiple of 51702 and 51720?

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 51702 and 51720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51702 and 51720, than apply into the LCM equation.

GCF(51702,51720) = 6
LCM(51702,51720) = ( 51702 × 51720) / 6
LCM(51702,51720) = 2674027440 / 6
LCM(51702,51720) = 445671240

Least Common Multiple (LCM) of 51702 and 51720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51702 and 51720. First we will calculate the prime factors of 51702 and 51720.

Prime Factorization of 51702

Prime Factorization of 51720

Now multiplying the highest exponent prime factors to calculate the LCM of 51702 and 51720.

LCM(51702,51720) = 2³ × 3¹ × 7¹ × 1231¹ × 5¹ × 431¹
LCM(51702,51720) = 445671240