What is the Least Common Multiple of 77996 and 78002?

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 77996 and 78002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77996 and 78002, than apply into the LCM equation.

GCF(77996,78002) = 2
LCM(77996,78002) = ( 77996 × 78002) / 2
LCM(77996,78002) = 6083843992 / 2
LCM(77996,78002) = 3041921996

Least Common Multiple (LCM) of 77996 and 78002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77996 and 78002. First we will calculate the prime factors of 77996 and 78002.

Prime Factorization of 77996

Prime Factorization of 78002

Now multiplying the highest exponent prime factors to calculate the LCM of 77996 and 78002.

LCM(77996,78002) = 2² × 17¹ × 31¹ × 37¹ × 43¹ × 907¹
LCM(77996,78002) = 3041921996