What is the Least Common Multiple of 70740 and 70752?

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 70740 and 70752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70740 and 70752, than apply into the LCM equation.

GCF(70740,70752) = 12
LCM(70740,70752) = ( 70740 × 70752) / 12
LCM(70740,70752) = 5004996480 / 12
LCM(70740,70752) = 417083040

Least Common Multiple (LCM) of 70740 and 70752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70740 and 70752. First we will calculate the prime factors of 70740 and 70752.

Prime Factorization of 70740

Prime Factorization of 70752

Now multiplying the highest exponent prime factors to calculate the LCM of 70740 and 70752.

LCM(70740,70752) = 2⁵ × 3³ × 5¹ × 131¹ × 11¹ × 67¹
LCM(70740,70752) = 417083040