What is the Least Common Multiple of 74679 and 74699?

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 74679 and 74699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74679 and 74699, than apply into the LCM equation.

GCF(74679,74699) = 1
LCM(74679,74699) = ( 74679 × 74699) / 1
LCM(74679,74699) = 5578446621 / 1
LCM(74679,74699) = 5578446621

Least Common Multiple (LCM) of 74679 and 74699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74679 and 74699. First we will calculate the prime factors of 74679 and 74699.

Prime Factorization of 74679

Prime Factorization of 74699

Now multiplying the highest exponent prime factors to calculate the LCM of 74679 and 74699.

LCM(74679,74699) = 3¹ × 11¹ × 31¹ × 73¹ × 74699¹
LCM(74679,74699) = 5578446621