What is the Least Common Multiple of 45514 and 45534?

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 45514 and 45534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45514 and 45534, than apply into the LCM equation.

GCF(45514,45534) = 2
LCM(45514,45534) = ( 45514 × 45534) / 2
LCM(45514,45534) = 2072434476 / 2
LCM(45514,45534) = 1036217238

Least Common Multiple (LCM) of 45514 and 45534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45514 and 45534. First we will calculate the prime factors of 45514 and 45534.

Prime Factorization of 45514

Prime Factorization of 45534

Now multiplying the highest exponent prime factors to calculate the LCM of 45514 and 45534.

LCM(45514,45534) = 2¹ × 7¹ × 3251¹ × 3¹ × 7589¹
LCM(45514,45534) = 1036217238