What is the Least Common Multiple of 35638 and 35658?

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 35638 and 35658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35638 and 35658, than apply into the LCM equation.

GCF(35638,35658) = 2
LCM(35638,35658) = ( 35638 × 35658) / 2
LCM(35638,35658) = 1270779804 / 2
LCM(35638,35658) = 635389902

Least Common Multiple (LCM) of 35638 and 35658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35638 and 35658. First we will calculate the prime factors of 35638 and 35658.

Prime Factorization of 35638

Prime Factorization of 35658

Now multiplying the highest exponent prime factors to calculate the LCM of 35638 and 35658.

LCM(35638,35658) = 2¹ × 103¹ × 173¹ × 3² × 7¹ × 283¹
LCM(35638,35658) = 635389902