What is the Least Common Multiple of 82950 and 82965?

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 82950 and 82965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82950 and 82965, than apply into the LCM equation.

GCF(82950,82965) = 15
LCM(82950,82965) = ( 82950 × 82965) / 15
LCM(82950,82965) = 6881946750 / 15
LCM(82950,82965) = 458796450

Least Common Multiple (LCM) of 82950 and 82965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82950 and 82965. First we will calculate the prime factors of 82950 and 82965.

Prime Factorization of 82950

Prime Factorization of 82965

Now multiplying the highest exponent prime factors to calculate the LCM of 82950 and 82965.

LCM(82950,82965) = 2¹ × 3¹ × 5² × 7¹ × 79¹ × 5531¹
LCM(82950,82965) = 458796450