What is the Least Common Multiple of 27514 and 27534?

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 27514 and 27534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27514 and 27534, than apply into the LCM equation.

GCF(27514,27534) = 2
LCM(27514,27534) = ( 27514 × 27534) / 2
LCM(27514,27534) = 757570476 / 2
LCM(27514,27534) = 378785238

Least Common Multiple (LCM) of 27514 and 27534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27514 and 27534. First we will calculate the prime factors of 27514 and 27534.

Prime Factorization of 27514

Prime Factorization of 27534

Now multiplying the highest exponent prime factors to calculate the LCM of 27514 and 27534.

LCM(27514,27534) = 2¹ × 13757¹ × 3¹ × 13¹ × 353¹
LCM(27514,27534) = 378785238