What is the Least Common Multiple of 77458 and 77473?

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 77458 and 77473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77458 and 77473, than apply into the LCM equation.

GCF(77458,77473) = 1
LCM(77458,77473) = ( 77458 × 77473) / 1
LCM(77458,77473) = 6000903634 / 1
LCM(77458,77473) = 6000903634

Least Common Multiple (LCM) of 77458 and 77473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77458 and 77473. First we will calculate the prime factors of 77458 and 77473.

Prime Factorization of 77458

Prime Factorization of 77473

Now multiplying the highest exponent prime factors to calculate the LCM of 77458 and 77473.

LCM(77458,77473) = 2¹ × 38729¹ × 11¹ × 7043¹
LCM(77458,77473) = 6000903634