What is the Least Common Multiple of 70368 and 70378?

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 70368 and 70378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70368 and 70378, than apply into the LCM equation.

GCF(70368,70378) = 2
LCM(70368,70378) = ( 70368 × 70378) / 2
LCM(70368,70378) = 4952359104 / 2
LCM(70368,70378) = 2476179552

Least Common Multiple (LCM) of 70368 and 70378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70368 and 70378. First we will calculate the prime factors of 70368 and 70378.

Prime Factorization of 70368

Prime Factorization of 70378

Now multiplying the highest exponent prime factors to calculate the LCM of 70368 and 70378.

LCM(70368,70378) = 2⁵ × 3¹ × 733¹ × 7¹ × 11¹ × 457¹
LCM(70368,70378) = 2476179552