What is the Least Common Multiple of 81954 and 81960?

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 81954 and 81960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81954 and 81960, than apply into the LCM equation.

GCF(81954,81960) = 6
LCM(81954,81960) = ( 81954 × 81960) / 6
LCM(81954,81960) = 6716949840 / 6
LCM(81954,81960) = 1119491640

Least Common Multiple (LCM) of 81954 and 81960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81954 and 81960. First we will calculate the prime factors of 81954 and 81960.

Prime Factorization of 81954

Prime Factorization of 81960

Now multiplying the highest exponent prime factors to calculate the LCM of 81954 and 81960.

LCM(81954,81960) = 2³ × 3² × 29¹ × 157¹ × 5¹ × 683¹
LCM(81954,81960) = 1119491640