What is the Least Common Multiple of 43155 and 43170?

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 43155 and 43170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43155 and 43170, than apply into the LCM equation.

GCF(43155,43170) = 15
LCM(43155,43170) = ( 43155 × 43170) / 15
LCM(43155,43170) = 1863001350 / 15
LCM(43155,43170) = 124200090

Least Common Multiple (LCM) of 43155 and 43170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43155 and 43170. First we will calculate the prime factors of 43155 and 43170.

Prime Factorization of 43155

Prime Factorization of 43170

Now multiplying the highest exponent prime factors to calculate the LCM of 43155 and 43170.

LCM(43155,43170) = 3² × 5¹ × 7¹ × 137¹ × 2¹ × 1439¹
LCM(43155,43170) = 124200090