What is the Least Common Multiple of 97055 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 97055 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 97055 and 97060, than apply into the LCM equation.

GCF(97055,97060) = 5
LCM(97055,97060) = ( 97055 × 97060) / 5
LCM(97055,97060) = 9420158300 / 5
LCM(97055,97060) = 1884031660

Least Common Multiple (LCM) of 97055 and 97060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97055 and 97060. First we will calculate the prime factors of 97055 and 97060.

Prime Factorization of 97055

Prime Factorization of 97060

Now multiplying the highest exponent prime factors to calculate the LCM of 97055 and 97060.

LCM(97055,97060) = 5¹ × 7¹ × 47¹ × 59¹ × 2² × 23¹ × 211¹
LCM(97055,97060) = 1884031660