What is the Least Common Multiple of 77049 and 77064?

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 77049 and 77064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77049 and 77064, than apply into the LCM equation.

GCF(77049,77064) = 3
LCM(77049,77064) = ( 77049 × 77064) / 3
LCM(77049,77064) = 5937704136 / 3
LCM(77049,77064) = 1979234712

Least Common Multiple (LCM) of 77049 and 77064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77049 and 77064. First we will calculate the prime factors of 77049 and 77064.

Prime Factorization of 77049

Prime Factorization of 77064

Now multiplying the highest exponent prime factors to calculate the LCM of 77049 and 77064.

LCM(77049,77064) = 3² × 7¹ × 1223¹ × 2³ × 13² × 19¹
LCM(77049,77064) = 1979234712