What is the Least Common Multiple of 77978 and 77996?

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 77978 and 77996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77978 and 77996, than apply into the LCM equation.

GCF(77978,77996) = 2
LCM(77978,77996) = ( 77978 × 77996) / 2
LCM(77978,77996) = 6081972088 / 2
LCM(77978,77996) = 3040986044

Least Common Multiple (LCM) of 77978 and 77996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77978 and 77996. First we will calculate the prime factors of 77978 and 77996.

Prime Factorization of 77978

Prime Factorization of 77996

Now multiplying the highest exponent prime factors to calculate the LCM of 77978 and 77996.

LCM(77978,77996) = 2² × 127¹ × 307¹ × 17¹ × 31¹ × 37¹
LCM(77978,77996) = 3040986044