What is the Least Common Multiple of 97160 and 97175?

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 97160 and 97175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97160 and 97175, than apply into the LCM equation.

GCF(97160,97175) = 5
LCM(97160,97175) = ( 97160 × 97175) / 5
LCM(97160,97175) = 9441523000 / 5
LCM(97160,97175) = 1888304600

Least Common Multiple (LCM) of 97160 and 97175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97160 and 97175. First we will calculate the prime factors of 97160 and 97175.

Prime Factorization of 97160

Prime Factorization of 97175

Now multiplying the highest exponent prime factors to calculate the LCM of 97160 and 97175.

LCM(97160,97175) = 2³ × 5² × 7¹ × 347¹ × 13² × 23¹
LCM(97160,97175) = 1888304600