What is the Least Common Multiple of 77974 and 77984?

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 77974 and 77984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77974 and 77984, than apply into the LCM equation.

GCF(77974,77984) = 2
LCM(77974,77984) = ( 77974 × 77984) / 2
LCM(77974,77984) = 6080724416 / 2
LCM(77974,77984) = 3040362208

Least Common Multiple (LCM) of 77974 and 77984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77974 and 77984. First we will calculate the prime factors of 77974 and 77984.

Prime Factorization of 77974

Prime Factorization of 77984

Now multiplying the highest exponent prime factors to calculate the LCM of 77974 and 77984.

LCM(77974,77984) = 2⁵ × 13¹ × 2999¹ × 2437¹
LCM(77974,77984) = 3040362208