What is the Least Common Multiple of 73678 and 73688?

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 73678 and 73688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73678 and 73688, than apply into the LCM equation.

GCF(73678,73688) = 2
LCM(73678,73688) = ( 73678 × 73688) / 2
LCM(73678,73688) = 5429184464 / 2
LCM(73678,73688) = 2714592232

Least Common Multiple (LCM) of 73678 and 73688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73678 and 73688. First we will calculate the prime factors of 73678 and 73688.

Prime Factorization of 73678

Prime Factorization of 73688

Now multiplying the highest exponent prime factors to calculate the LCM of 73678 and 73688.

LCM(73678,73688) = 2³ × 11¹ × 17¹ × 197¹ × 61¹ × 151¹
LCM(73678,73688) = 2714592232