What is the Least Common Multiple of 35072 and 35076?

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 35072 and 35076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35072 and 35076, than apply into the LCM equation.

GCF(35072,35076) = 4
LCM(35072,35076) = ( 35072 × 35076) / 4
LCM(35072,35076) = 1230185472 / 4
LCM(35072,35076) = 307546368

Least Common Multiple (LCM) of 35072 and 35076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35072 and 35076. First we will calculate the prime factors of 35072 and 35076.

Prime Factorization of 35072

Prime Factorization of 35076

Now multiplying the highest exponent prime factors to calculate the LCM of 35072 and 35076.

LCM(35072,35076) = 2⁸ × 137¹ × 3¹ × 37¹ × 79¹
LCM(35072,35076) = 307546368