What is the Least Common Multiple of 61514 and 61533?

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 61514 and 61533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61514 and 61533, than apply into the LCM equation.

GCF(61514,61533) = 1
LCM(61514,61533) = ( 61514 × 61533) / 1
LCM(61514,61533) = 3785140962 / 1
LCM(61514,61533) = 3785140962

Least Common Multiple (LCM) of 61514 and 61533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61514 and 61533. First we will calculate the prime factors of 61514 and 61533.

Prime Factorization of 61514

Prime Factorization of 61533

Now multiplying the highest exponent prime factors to calculate the LCM of 61514 and 61533.

LCM(61514,61533) = 2¹ × 30757¹ × 3³ × 43¹ × 53¹
LCM(61514,61533) = 3785140962