What is the Least Common Multiple of 73808 and 73813?

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 73808 and 73813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73808 and 73813, than apply into the LCM equation.

GCF(73808,73813) = 1
LCM(73808,73813) = ( 73808 × 73813) / 1
LCM(73808,73813) = 5447989904 / 1
LCM(73808,73813) = 5447989904

Least Common Multiple (LCM) of 73808 and 73813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73808 and 73813. First we will calculate the prime factors of 73808 and 73813.

Prime Factorization of 73808

Prime Factorization of 73813

Now multiplying the highest exponent prime factors to calculate the LCM of 73808 and 73813.

LCM(73808,73813) = 2⁴ × 7¹ × 659¹ × 223¹ × 331¹
LCM(73808,73813) = 5447989904