What is the Least Common Multiple of 73902 and 73906?

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 73902 and 73906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73902 and 73906, than apply into the LCM equation.

GCF(73902,73906) = 2
LCM(73902,73906) = ( 73902 × 73906) / 2
LCM(73902,73906) = 5461801212 / 2
LCM(73902,73906) = 2730900606

Least Common Multiple (LCM) of 73902 and 73906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73902 and 73906. First we will calculate the prime factors of 73902 and 73906.

Prime Factorization of 73902

Prime Factorization of 73906

Now multiplying the highest exponent prime factors to calculate the LCM of 73902 and 73906.

LCM(73902,73906) = 2¹ × 3¹ × 109¹ × 113¹ × 7¹ × 5279¹
LCM(73902,73906) = 2730900606