What is the Least Common Multiple of 77240 and 77254?

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 77240 and 77254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77240 and 77254, than apply into the LCM equation.

GCF(77240,77254) = 2
LCM(77240,77254) = ( 77240 × 77254) / 2
LCM(77240,77254) = 5967098960 / 2
LCM(77240,77254) = 2983549480

Least Common Multiple (LCM) of 77240 and 77254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77240 and 77254. First we will calculate the prime factors of 77240 and 77254.

Prime Factorization of 77240

Prime Factorization of 77254

Now multiplying the highest exponent prime factors to calculate the LCM of 77240 and 77254.

LCM(77240,77254) = 2³ × 5¹ × 1931¹ × 19² × 107¹
LCM(77240,77254) = 2983549480