What is the Least Common Multiple of 70064 and 70070?

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 70064 and 70070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70064 and 70070, than apply into the LCM equation.

GCF(70064,70070) = 2
LCM(70064,70070) = ( 70064 × 70070) / 2
LCM(70064,70070) = 4909384480 / 2
LCM(70064,70070) = 2454692240

Least Common Multiple (LCM) of 70064 and 70070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70064 and 70070. First we will calculate the prime factors of 70064 and 70070.

Prime Factorization of 70064

Prime Factorization of 70070

Now multiplying the highest exponent prime factors to calculate the LCM of 70064 and 70070.

LCM(70064,70070) = 2⁴ × 29¹ × 151¹ × 5¹ × 7² × 11¹ × 13¹
LCM(70064,70070) = 2454692240