What is the Least Common Multiple of 97125 and 97142?

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 97125 and 97142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97125 and 97142, than apply into the LCM equation.

GCF(97125,97142) = 1
LCM(97125,97142) = ( 97125 × 97142) / 1
LCM(97125,97142) = 9434916750 / 1
LCM(97125,97142) = 9434916750

Least Common Multiple (LCM) of 97125 and 97142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97125 and 97142. First we will calculate the prime factors of 97125 and 97142.

Prime Factorization of 97125

Prime Factorization of 97142

Now multiplying the highest exponent prime factors to calculate the LCM of 97125 and 97142.

LCM(97125,97142) = 3¹ × 5³ × 7¹ × 37¹ × 2¹ × 48571¹
LCM(97125,97142) = 9434916750