What is the Least Common Multiple of 70448 and 70468?

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 70448 and 70468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70448 and 70468, than apply into the LCM equation.

GCF(70448,70468) = 4
LCM(70448,70468) = ( 70448 × 70468) / 4
LCM(70448,70468) = 4964329664 / 4
LCM(70448,70468) = 1241082416

Least Common Multiple (LCM) of 70448 and 70468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70448 and 70468. First we will calculate the prime factors of 70448 and 70468.

Prime Factorization of 70448

Prime Factorization of 70468

Now multiplying the highest exponent prime factors to calculate the LCM of 70448 and 70468.

LCM(70448,70468) = 2⁴ × 7¹ × 17¹ × 37¹ × 79¹ × 223¹
LCM(70448,70468) = 1241082416