What is the Least Common Multiple of 35674 and 35693?

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 35674 and 35693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35674 and 35693, than apply into the LCM equation.

GCF(35674,35693) = 1
LCM(35674,35693) = ( 35674 × 35693) / 1
LCM(35674,35693) = 1273312082 / 1
LCM(35674,35693) = 1273312082

Least Common Multiple (LCM) of 35674 and 35693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35674 and 35693. First we will calculate the prime factors of 35674 and 35693.

Prime Factorization of 35674

Prime Factorization of 35693

Now multiplying the highest exponent prime factors to calculate the LCM of 35674 and 35693.

LCM(35674,35693) = 2¹ × 17837¹ × 7¹ × 5099¹
LCM(35674,35693) = 1273312082