What is the Least Common Multiple of 77240 and 77252?

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 77252 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 77252, than apply into the LCM equation.

GCF(77240,77252) = 4
LCM(77240,77252) = ( 77240 × 77252) / 4
LCM(77240,77252) = 5966944480 / 4
LCM(77240,77252) = 1491736120

Least Common Multiple (LCM) of 77240 and 77252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77240 and 77252. First we will calculate the prime factors of 77240 and 77252.

Prime Factorization of 77240

Prime Factorization of 77252

Now multiplying the highest exponent prime factors to calculate the LCM of 77240 and 77252.

LCM(77240,77252) = 2³ × 5¹ × 1931¹ × 7¹ × 31¹ × 89¹
LCM(77240,77252) = 1491736120