What is the Least Common Multiple of 73495 and 73507?

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 73495 and 73507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73495 and 73507, than apply into the LCM equation.

GCF(73495,73507) = 1
LCM(73495,73507) = ( 73495 × 73507) / 1
LCM(73495,73507) = 5402396965 / 1
LCM(73495,73507) = 5402396965

Least Common Multiple (LCM) of 73495 and 73507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73495 and 73507. First we will calculate the prime factors of 73495 and 73507.

Prime Factorization of 73495

Prime Factorization of 73507

Now multiplying the highest exponent prime factors to calculate the LCM of 73495 and 73507.

LCM(73495,73507) = 5¹ × 14699¹ × 7¹ × 10501¹
LCM(73495,73507) = 5402396965