What is the Least Common Multiple of 97060 and 97073?

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 97060 and 97073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97060 and 97073, than apply into the LCM equation.

GCF(97060,97073) = 1
LCM(97060,97073) = ( 97060 × 97073) / 1
LCM(97060,97073) = 9421905380 / 1
LCM(97060,97073) = 9421905380

Least Common Multiple (LCM) of 97060 and 97073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97060 and 97073. First we will calculate the prime factors of 97060 and 97073.

Prime Factorization of 97060

Prime Factorization of 97073

Now multiplying the highest exponent prime factors to calculate the LCM of 97060 and 97073.

LCM(97060,97073) = 2² × 5¹ × 23¹ × 211¹ × 97073¹
LCM(97060,97073) = 9421905380