What is the Least Common Multiple of 67514 and 67534?

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 67514 and 67534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67514 and 67534, than apply into the LCM equation.

GCF(67514,67534) = 2
LCM(67514,67534) = ( 67514 × 67534) / 2
LCM(67514,67534) = 4559490476 / 2
LCM(67514,67534) = 2279745238

Least Common Multiple (LCM) of 67514 and 67534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67514 and 67534. First we will calculate the prime factors of 67514 and 67534.

Prime Factorization of 67514

Prime Factorization of 67534

Now multiplying the highest exponent prime factors to calculate the LCM of 67514 and 67534.

LCM(67514,67534) = 2¹ × 33757¹ × 33767¹
LCM(67514,67534) = 2279745238