What is the Least Common Multiple of 70357 and 70373?

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 70357 and 70373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70357 and 70373, than apply into the LCM equation.

GCF(70357,70373) = 1
LCM(70357,70373) = ( 70357 × 70373) / 1
LCM(70357,70373) = 4951233161 / 1
LCM(70357,70373) = 4951233161

Least Common Multiple (LCM) of 70357 and 70373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70357 and 70373. First we will calculate the prime factors of 70357 and 70373.

Prime Factorization of 70357

Prime Factorization of 70373

Now multiplying the highest exponent prime factors to calculate the LCM of 70357 and 70373.

LCM(70357,70373) = 7¹ × 19¹ × 23² × 70373¹
LCM(70357,70373) = 4951233161