What is the Least Common Multiple of 70374 and 70381?

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 70374 and 70381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70374 and 70381, than apply into the LCM equation.

GCF(70374,70381) = 1
LCM(70374,70381) = ( 70374 × 70381) / 1
LCM(70374,70381) = 4952992494 / 1
LCM(70374,70381) = 4952992494

Least Common Multiple (LCM) of 70374 and 70381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70374 and 70381. First we will calculate the prime factors of 70374 and 70381.

Prime Factorization of 70374

Prime Factorization of 70381

Now multiplying the highest exponent prime factors to calculate the LCM of 70374 and 70381.

LCM(70374,70381) = 2¹ × 3¹ × 37¹ × 317¹ × 70381¹
LCM(70374,70381) = 4952992494