What is the Least Common Multiple of 65674 and 65692?

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 65674 and 65692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65674 and 65692, than apply into the LCM equation.

GCF(65674,65692) = 2
LCM(65674,65692) = ( 65674 × 65692) / 2
LCM(65674,65692) = 4314256408 / 2
LCM(65674,65692) = 2157128204

Least Common Multiple (LCM) of 65674 and 65692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65674 and 65692. First we will calculate the prime factors of 65674 and 65692.

Prime Factorization of 65674

Prime Factorization of 65692

Now multiplying the highest exponent prime factors to calculate the LCM of 65674 and 65692.

LCM(65674,65692) = 2² × 7¹ × 4691¹ × 11¹ × 1493¹
LCM(65674,65692) = 2157128204