What is the Least Common Multiple of 97154 and 97170?

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 97154 and 97170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97154 and 97170, than apply into the LCM equation.

GCF(97154,97170) = 2
LCM(97154,97170) = ( 97154 × 97170) / 2
LCM(97154,97170) = 9440454180 / 2
LCM(97154,97170) = 4720227090

Least Common Multiple (LCM) of 97154 and 97170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97154 and 97170. First we will calculate the prime factors of 97154 and 97170.

Prime Factorization of 97154

Prime Factorization of 97170

Now multiplying the highest exponent prime factors to calculate the LCM of 97154 and 97170.

LCM(97154,97170) = 2¹ × 31¹ × 1567¹ × 3¹ × 5¹ × 41¹ × 79¹
LCM(97154,97170) = 4720227090