What is the Least Common Multiple of 70034 and 70048?

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 70034 and 70048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70034 and 70048, than apply into the LCM equation.

GCF(70034,70048) = 2
LCM(70034,70048) = ( 70034 × 70048) / 2
LCM(70034,70048) = 4905741632 / 2
LCM(70034,70048) = 2452870816

Least Common Multiple (LCM) of 70034 and 70048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70034 and 70048. First we will calculate the prime factors of 70034 and 70048.

Prime Factorization of 70034

Prime Factorization of 70048

Now multiplying the highest exponent prime factors to calculate the LCM of 70034 and 70048.

LCM(70034,70048) = 2⁵ × 19² × 97¹ × 11¹ × 199¹
LCM(70034,70048) = 2452870816