What is the Least Common Multiple of 70320 and 70324?

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 70320 and 70324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70320 and 70324, than apply into the LCM equation.

GCF(70320,70324) = 4
LCM(70320,70324) = ( 70320 × 70324) / 4
LCM(70320,70324) = 4945183680 / 4
LCM(70320,70324) = 1236295920

Least Common Multiple (LCM) of 70320 and 70324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70320 and 70324. First we will calculate the prime factors of 70320 and 70324.

Prime Factorization of 70320

Prime Factorization of 70324

Now multiplying the highest exponent prime factors to calculate the LCM of 70320 and 70324.

LCM(70320,70324) = 2⁴ × 3¹ × 5¹ × 293¹ × 17581¹
LCM(70320,70324) = 1236295920