What is the Least Common Multiple of 97475 and 97494?

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 97475 and 97494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97475 and 97494, than apply into the LCM equation.

GCF(97475,97494) = 1
LCM(97475,97494) = ( 97475 × 97494) / 1
LCM(97475,97494) = 9503227650 / 1
LCM(97475,97494) = 9503227650

Least Common Multiple (LCM) of 97475 and 97494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97475 and 97494. First we will calculate the prime factors of 97475 and 97494.

Prime Factorization of 97475

Prime Factorization of 97494

Now multiplying the highest exponent prime factors to calculate the LCM of 97475 and 97494.

LCM(97475,97494) = 5² × 7¹ × 557¹ × 2¹ × 3¹ × 16249¹
LCM(97475,97494) = 9503227650