What is the Least Common Multiple of 70401 and 70417?

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 70401 and 70417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70401 and 70417, than apply into the LCM equation.

GCF(70401,70417) = 1
LCM(70401,70417) = ( 70401 × 70417) / 1
LCM(70401,70417) = 4957427217 / 1
LCM(70401,70417) = 4957427217

Least Common Multiple (LCM) of 70401 and 70417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70401 and 70417. First we will calculate the prime factors of 70401 and 70417.

Prime Factorization of 70401

Prime Factorization of 70417

Now multiplying the highest exponent prime factors to calculate the LCM of 70401 and 70417.

LCM(70401,70417) = 3¹ × 31¹ × 757¹ × 67¹ × 1051¹
LCM(70401,70417) = 4957427217