What is the Least Common Multiple of 43072 and 43092?

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 43072 and 43092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43072 and 43092, than apply into the LCM equation.

GCF(43072,43092) = 4
LCM(43072,43092) = ( 43072 × 43092) / 4
LCM(43072,43092) = 1856058624 / 4
LCM(43072,43092) = 464014656

Least Common Multiple (LCM) of 43072 and 43092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43072 and 43092. First we will calculate the prime factors of 43072 and 43092.

Prime Factorization of 43072

Prime Factorization of 43092

Now multiplying the highest exponent prime factors to calculate the LCM of 43072 and 43092.

LCM(43072,43092) = 2⁶ × 673¹ × 3⁴ × 7¹ × 19¹
LCM(43072,43092) = 464014656