What is the Least Common Multiple of 97300 and 97312?

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 97300 and 97312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97300 and 97312, than apply into the LCM equation.

GCF(97300,97312) = 4
LCM(97300,97312) = ( 97300 × 97312) / 4
LCM(97300,97312) = 9468457600 / 4
LCM(97300,97312) = 2367114400

Least Common Multiple (LCM) of 97300 and 97312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97300 and 97312. First we will calculate the prime factors of 97300 and 97312.

Prime Factorization of 97300

Prime Factorization of 97312

Now multiplying the highest exponent prime factors to calculate the LCM of 97300 and 97312.

LCM(97300,97312) = 2⁵ × 5² × 7¹ × 139¹ × 3041¹
LCM(97300,97312) = 2367114400