What is the Least Common Multiple of 30975 and 30980?

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 30975 and 30980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30975 and 30980, than apply into the LCM equation.

GCF(30975,30980) = 5
LCM(30975,30980) = ( 30975 × 30980) / 5
LCM(30975,30980) = 959605500 / 5
LCM(30975,30980) = 191921100

Least Common Multiple (LCM) of 30975 and 30980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30975 and 30980. First we will calculate the prime factors of 30975 and 30980.

Prime Factorization of 30975

Prime Factorization of 30980

Now multiplying the highest exponent prime factors to calculate the LCM of 30975 and 30980.

LCM(30975,30980) = 3¹ × 5² × 7¹ × 59¹ × 2² × 1549¹
LCM(30975,30980) = 191921100