What is the Least Common Multiple of 40514 and 40534?

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 40514 and 40534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40514 and 40534, than apply into the LCM equation.

GCF(40514,40534) = 2
LCM(40514,40534) = ( 40514 × 40534) / 2
LCM(40514,40534) = 1642194476 / 2
LCM(40514,40534) = 821097238

Least Common Multiple (LCM) of 40514 and 40534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40514 and 40534. First we will calculate the prime factors of 40514 and 40534.

Prime Factorization of 40514

Prime Factorization of 40534

Now multiplying the highest exponent prime factors to calculate the LCM of 40514 and 40534.

LCM(40514,40534) = 2¹ × 47¹ × 431¹ × 13¹ × 1559¹
LCM(40514,40534) = 821097238