What is the Least Common Multiple of 73514 and 73534?

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 73514 and 73534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73514 and 73534, than apply into the LCM equation.

GCF(73514,73534) = 2
LCM(73514,73534) = ( 73514 × 73534) / 2
LCM(73514,73534) = 5405778476 / 2
LCM(73514,73534) = 2702889238

Least Common Multiple (LCM) of 73514 and 73534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73514 and 73534. First we will calculate the prime factors of 73514 and 73534.

Prime Factorization of 73514

Prime Factorization of 73534

Now multiplying the highest exponent prime factors to calculate the LCM of 73514 and 73534.

LCM(73514,73534) = 2¹ × 7¹ × 59¹ × 89¹ × 36767¹
LCM(73514,73534) = 2702889238