What is the Least Common Multiple of 77969 and 77981?

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 77969 and 77981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77969 and 77981, than apply into the LCM equation.

GCF(77969,77981) = 1
LCM(77969,77981) = ( 77969 × 77981) / 1
LCM(77969,77981) = 6080100589 / 1
LCM(77969,77981) = 6080100589

Least Common Multiple (LCM) of 77969 and 77981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77969 and 77981. First we will calculate the prime factors of 77969 and 77981.

Prime Factorization of 77969

Prime Factorization of 77981

Now multiplying the highest exponent prime factors to calculate the LCM of 77969 and 77981.

LCM(77969,77981) = 77969¹ × 29¹ × 2689¹
LCM(77969,77981) = 6080100589