What is the Least Common Multiple of 97044 and 97060?

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 97044 and 97060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97044 and 97060, than apply into the LCM equation.

GCF(97044,97060) = 4
LCM(97044,97060) = ( 97044 × 97060) / 4
LCM(97044,97060) = 9419090640 / 4
LCM(97044,97060) = 2354772660

Least Common Multiple (LCM) of 97044 and 97060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97044 and 97060. First we will calculate the prime factors of 97044 and 97060.

Prime Factorization of 97044

Prime Factorization of 97060

Now multiplying the highest exponent prime factors to calculate the LCM of 97044 and 97060.

LCM(97044,97060) = 2² × 3¹ × 8087¹ × 5¹ × 23¹ × 211¹
LCM(97044,97060) = 2354772660