What is the Least Common Multiple of 70044 and 70064?

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 70044 and 70064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70044 and 70064, than apply into the LCM equation.

GCF(70044,70064) = 4
LCM(70044,70064) = ( 70044 × 70064) / 4
LCM(70044,70064) = 4907562816 / 4
LCM(70044,70064) = 1226890704

Least Common Multiple (LCM) of 70044 and 70064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70044 and 70064. First we will calculate the prime factors of 70044 and 70064.

Prime Factorization of 70044

Prime Factorization of 70064

Now multiplying the highest exponent prime factors to calculate the LCM of 70044 and 70064.

LCM(70044,70064) = 2⁴ × 3¹ × 13¹ × 449¹ × 29¹ × 151¹
LCM(70044,70064) = 1226890704