What is the Least Common Multiple of 70320 and 70336?

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 70336 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 70336, than apply into the LCM equation.

GCF(70320,70336) = 16
LCM(70320,70336) = ( 70320 × 70336) / 16
LCM(70320,70336) = 4946027520 / 16
LCM(70320,70336) = 309126720

Least Common Multiple (LCM) of 70320 and 70336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70320 and 70336. First we will calculate the prime factors of 70320 and 70336.

Prime Factorization of 70320

Prime Factorization of 70336

Now multiplying the highest exponent prime factors to calculate the LCM of 70320 and 70336.

LCM(70320,70336) = 2⁶ × 3¹ × 5¹ × 293¹ × 7¹ × 157¹
LCM(70320,70336) = 309126720