What is the Least Common Multiple of 73978 and 73987?

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 73978 and 73987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73978 and 73987, than apply into the LCM equation.

GCF(73978,73987) = 1
LCM(73978,73987) = ( 73978 × 73987) / 1
LCM(73978,73987) = 5473410286 / 1
LCM(73978,73987) = 5473410286

Least Common Multiple (LCM) of 73978 and 73987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73978 and 73987. First we will calculate the prime factors of 73978 and 73987.

Prime Factorization of 73978

Prime Factorization of 73987

Now multiplying the highest exponent prime factors to calculate the LCM of 73978 and 73987.

LCM(73978,73987) = 2¹ × 47¹ × 787¹ × 241¹ × 307¹
LCM(73978,73987) = 5473410286