What is the Least Common Multiple of 70356 and 70374?

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 70356 and 70374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70356 and 70374, than apply into the LCM equation.

GCF(70356,70374) = 6
LCM(70356,70374) = ( 70356 × 70374) / 6
LCM(70356,70374) = 4951233144 / 6
LCM(70356,70374) = 825205524

Least Common Multiple (LCM) of 70356 and 70374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70356 and 70374. First we will calculate the prime factors of 70356 and 70374.

Prime Factorization of 70356

Prime Factorization of 70374

Now multiplying the highest exponent prime factors to calculate the LCM of 70356 and 70374.

LCM(70356,70374) = 2² × 3¹ × 11¹ × 13¹ × 41¹ × 37¹ × 317¹
LCM(70356,70374) = 825205524