What is the Least Common Multiple of 97752 and 97770?

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 97752 and 97770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97752 and 97770, than apply into the LCM equation.

GCF(97752,97770) = 6
LCM(97752,97770) = ( 97752 × 97770) / 6
LCM(97752,97770) = 9557213040 / 6
LCM(97752,97770) = 1592868840

Least Common Multiple (LCM) of 97752 and 97770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97752 and 97770. First we will calculate the prime factors of 97752 and 97770.

Prime Factorization of 97752

Prime Factorization of 97770

Now multiplying the highest exponent prime factors to calculate the LCM of 97752 and 97770.

LCM(97752,97770) = 2³ × 3¹ × 4073¹ × 5¹ × 3259¹
LCM(97752,97770) = 1592868840