What is the Least Common Multiple of 73788 and 73808?

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 73788 and 73808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73788 and 73808, than apply into the LCM equation.

GCF(73788,73808) = 4
LCM(73788,73808) = ( 73788 × 73808) / 4
LCM(73788,73808) = 5446144704 / 4
LCM(73788,73808) = 1361536176

Least Common Multiple (LCM) of 73788 and 73808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73788 and 73808. First we will calculate the prime factors of 73788 and 73808.

Prime Factorization of 73788

Prime Factorization of 73808

Now multiplying the highest exponent prime factors to calculate the LCM of 73788 and 73808.

LCM(73788,73808) = 2⁴ × 3¹ × 11¹ × 13¹ × 43¹ × 7¹ × 659¹
LCM(73788,73808) = 1361536176