What is the Least Common Multiple of 77222 and 77240?

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 77222 and 77240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77222 and 77240, than apply into the LCM equation.

GCF(77222,77240) = 2
LCM(77222,77240) = ( 77222 × 77240) / 2
LCM(77222,77240) = 5964627280 / 2
LCM(77222,77240) = 2982313640

Least Common Multiple (LCM) of 77222 and 77240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77222 and 77240. First we will calculate the prime factors of 77222 and 77240.

Prime Factorization of 77222

Prime Factorization of 77240

Now multiplying the highest exponent prime factors to calculate the LCM of 77222 and 77240.

LCM(77222,77240) = 2³ × 38611¹ × 5¹ × 1931¹
LCM(77222,77240) = 2982313640