What is the Least Common Multiple of 77874 and 77884?

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 77874 and 77884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77874 and 77884, than apply into the LCM equation.

GCF(77874,77884) = 2
LCM(77874,77884) = ( 77874 × 77884) / 2
LCM(77874,77884) = 6065138616 / 2
LCM(77874,77884) = 3032569308

Least Common Multiple (LCM) of 77874 and 77884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77874 and 77884. First we will calculate the prime factors of 77874 and 77884.

Prime Factorization of 77874

Prime Factorization of 77884

Now multiplying the highest exponent prime factors to calculate the LCM of 77874 and 77884.

LCM(77874,77884) = 2² × 3¹ × 12979¹ × 19471¹
LCM(77874,77884) = 3032569308