What is the Least Common Multiple of 73030 and 73046?

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 73030 and 73046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73030 and 73046, than apply into the LCM equation.

GCF(73030,73046) = 2
LCM(73030,73046) = ( 73030 × 73046) / 2
LCM(73030,73046) = 5334549380 / 2
LCM(73030,73046) = 2667274690

Least Common Multiple (LCM) of 73030 and 73046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73030 and 73046. First we will calculate the prime factors of 73030 and 73046.

Prime Factorization of 73030

Prime Factorization of 73046

Now multiplying the highest exponent prime factors to calculate the LCM of 73030 and 73046.

LCM(73030,73046) = 2¹ × 5¹ × 67¹ × 109¹ × 36523¹
LCM(73030,73046) = 2667274690