What is the Least Common Multiple of 73681 and 73690?

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 73681 and 73690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73681 and 73690, than apply into the LCM equation.

GCF(73681,73690) = 1
LCM(73681,73690) = ( 73681 × 73690) / 1
LCM(73681,73690) = 5429552890 / 1
LCM(73681,73690) = 5429552890

Least Common Multiple (LCM) of 73681 and 73690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73681 and 73690. First we will calculate the prime factors of 73681 and 73690.

Prime Factorization of 73681

Prime Factorization of 73690

Now multiplying the highest exponent prime factors to calculate the LCM of 73681 and 73690.

LCM(73681,73690) = 73681¹ × 2¹ × 5¹ × 7369¹
LCM(73681,73690) = 5429552890