What is the Least Common Multiple of 82954 and 82968?

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 82954 and 82968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82954 and 82968, than apply into the LCM equation.

GCF(82954,82968) = 2
LCM(82954,82968) = ( 82954 × 82968) / 2
LCM(82954,82968) = 6882527472 / 2
LCM(82954,82968) = 3441263736

Least Common Multiple (LCM) of 82954 and 82968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82954 and 82968. First we will calculate the prime factors of 82954 and 82968.

Prime Factorization of 82954

Prime Factorization of 82968

Now multiplying the highest exponent prime factors to calculate the LCM of 82954 and 82968.

LCM(82954,82968) = 2³ × 19¹ × 37¹ × 59¹ × 3¹ × 3457¹
LCM(82954,82968) = 3441263736