What is the Least Common Multiple of 97470 and 97475?

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 97470 and 97475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97470 and 97475, than apply into the LCM equation.

GCF(97470,97475) = 5
LCM(97470,97475) = ( 97470 × 97475) / 5
LCM(97470,97475) = 9500888250 / 5
LCM(97470,97475) = 1900177650

Least Common Multiple (LCM) of 97470 and 97475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97470 and 97475. First we will calculate the prime factors of 97470 and 97475.

Prime Factorization of 97470

Prime Factorization of 97475

Now multiplying the highest exponent prime factors to calculate the LCM of 97470 and 97475.

LCM(97470,97475) = 2¹ × 3³ × 5² × 19² × 7¹ × 557¹
LCM(97470,97475) = 1900177650