What is the Least Common Multiple of 81975 and 81988?

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 81975 and 81988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81975 and 81988, than apply into the LCM equation.

GCF(81975,81988) = 1
LCM(81975,81988) = ( 81975 × 81988) / 1
LCM(81975,81988) = 6720966300 / 1
LCM(81975,81988) = 6720966300

Least Common Multiple (LCM) of 81975 and 81988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81975 and 81988. First we will calculate the prime factors of 81975 and 81988.

Prime Factorization of 81975

Prime Factorization of 81988

Now multiplying the highest exponent prime factors to calculate the LCM of 81975 and 81988.

LCM(81975,81988) = 3¹ × 5² × 1093¹ × 2² × 103¹ × 199¹
LCM(81975,81988) = 6720966300