What is the Least Common Multiple of 70535 and 70549?

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 70535 and 70549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70535 and 70549, than apply into the LCM equation.

GCF(70535,70549) = 1
LCM(70535,70549) = ( 70535 × 70549) / 1
LCM(70535,70549) = 4976173715 / 1
LCM(70535,70549) = 4976173715

Least Common Multiple (LCM) of 70535 and 70549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70535 and 70549. First we will calculate the prime factors of 70535 and 70549.

Prime Factorization of 70535

Prime Factorization of 70549

Now multiplying the highest exponent prime factors to calculate the LCM of 70535 and 70549.

LCM(70535,70549) = 5¹ × 14107¹ × 70549¹
LCM(70535,70549) = 4976173715