What is the Least Common Multiple of 74657 and 74666?

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 74657 and 74666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74657 and 74666, than apply into the LCM equation.

GCF(74657,74666) = 1
LCM(74657,74666) = ( 74657 × 74666) / 1
LCM(74657,74666) = 5574339562 / 1
LCM(74657,74666) = 5574339562

Least Common Multiple (LCM) of 74657 and 74666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74657 and 74666. First we will calculate the prime factors of 74657 and 74666.

Prime Factorization of 74657

Prime Factorization of 74666

Now multiplying the highest exponent prime factors to calculate the LCM of 74657 and 74666.

LCM(74657,74666) = 11² × 617¹ × 2¹ × 37¹ × 1009¹
LCM(74657,74666) = 5574339562