What is the Least Common Multiple of 45902 and 45917?

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 45902 and 45917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45902 and 45917, than apply into the LCM equation.

GCF(45902,45917) = 1
LCM(45902,45917) = ( 45902 × 45917) / 1
LCM(45902,45917) = 2107682134 / 1
LCM(45902,45917) = 2107682134

Least Common Multiple (LCM) of 45902 and 45917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45902 and 45917. First we will calculate the prime factors of 45902 and 45917.

Prime Factorization of 45902

Prime Factorization of 45917

Now multiplying the highest exponent prime factors to calculate the LCM of 45902 and 45917.

LCM(45902,45917) = 2¹ × 59¹ × 389¹ × 17¹ × 37¹ × 73¹
LCM(45902,45917) = 2107682134