What is the Least Common Multiple of 70240 and 70244?

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 70240 and 70244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70240 and 70244, than apply into the LCM equation.

GCF(70240,70244) = 4
LCM(70240,70244) = ( 70240 × 70244) / 4
LCM(70240,70244) = 4933938560 / 4
LCM(70240,70244) = 1233484640

Least Common Multiple (LCM) of 70240 and 70244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70240 and 70244. First we will calculate the prime factors of 70240 and 70244.

Prime Factorization of 70240

Prime Factorization of 70244

Now multiplying the highest exponent prime factors to calculate the LCM of 70240 and 70244.

LCM(70240,70244) = 2⁵ × 5¹ × 439¹ × 17¹ × 1033¹
LCM(70240,70244) = 1233484640