What is the Least Common Multiple of 97520 and 97530?

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 97520 and 97530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97520 and 97530, than apply into the LCM equation.

GCF(97520,97530) = 10
LCM(97520,97530) = ( 97520 × 97530) / 10
LCM(97520,97530) = 9511125600 / 10
LCM(97520,97530) = 951112560

Least Common Multiple (LCM) of 97520 and 97530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97520 and 97530. First we will calculate the prime factors of 97520 and 97530.

Prime Factorization of 97520

Prime Factorization of 97530

Now multiplying the highest exponent prime factors to calculate the LCM of 97520 and 97530.

LCM(97520,97530) = 2⁴ × 5¹ × 23¹ × 53¹ × 3¹ × 3251¹
LCM(97520,97530) = 951112560