What is the Least Common Multiple of 70546 and 70561?

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 70546 and 70561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70546 and 70561, than apply into the LCM equation.

GCF(70546,70561) = 1
LCM(70546,70561) = ( 70546 × 70561) / 1
LCM(70546,70561) = 4977796306 / 1
LCM(70546,70561) = 4977796306

Least Common Multiple (LCM) of 70546 and 70561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70546 and 70561. First we will calculate the prime factors of 70546 and 70561.

Prime Factorization of 70546

Prime Factorization of 70561

Now multiplying the highest exponent prime factors to calculate the LCM of 70546 and 70561.

LCM(70546,70561) = 2¹ × 7¹ × 5039¹ × 41¹ × 1721¹
LCM(70546,70561) = 4977796306