What is the Least Common Multiple of 43085 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 43085 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 43085 and 43092, than apply into the LCM equation.

GCF(43085,43092) = 7
LCM(43085,43092) = ( 43085 × 43092) / 7
LCM(43085,43092) = 1856618820 / 7
LCM(43085,43092) = 265231260

Least Common Multiple (LCM) of 43085 and 43092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43085 and 43092. First we will calculate the prime factors of 43085 and 43092.

Prime Factorization of 43085

Prime Factorization of 43092

Now multiplying the highest exponent prime factors to calculate the LCM of 43085 and 43092.

LCM(43085,43092) = 5¹ × 7¹ × 1231¹ × 2² × 3⁴ × 19¹
LCM(43085,43092) = 265231260