What is the Least Common Multiple of 92945 and 92965?

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 92945 and 92965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92945 and 92965, than apply into the LCM equation.

GCF(92945,92965) = 5
LCM(92945,92965) = ( 92945 × 92965) / 5
LCM(92945,92965) = 8640631925 / 5
LCM(92945,92965) = 1728126385

Least Common Multiple (LCM) of 92945 and 92965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92945 and 92965. First we will calculate the prime factors of 92945 and 92965.

Prime Factorization of 92945

Prime Factorization of 92965

Now multiplying the highest exponent prime factors to calculate the LCM of 92945 and 92965.

LCM(92945,92965) = 5¹ × 29¹ × 641¹ × 18593¹
LCM(92945,92965) = 1728126385