What is the Least Common Multiple of 67038 and 67052?

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 67038 and 67052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67038 and 67052, than apply into the LCM equation.

GCF(67038,67052) = 2
LCM(67038,67052) = ( 67038 × 67052) / 2
LCM(67038,67052) = 4495031976 / 2
LCM(67038,67052) = 2247515988

Least Common Multiple (LCM) of 67038 and 67052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67038 and 67052. First we will calculate the prime factors of 67038 and 67052.

Prime Factorization of 67038

Prime Factorization of 67052

Now multiplying the highest exponent prime factors to calculate the LCM of 67038 and 67052.

LCM(67038,67052) = 2² × 3¹ × 11173¹ × 16763¹
LCM(67038,67052) = 2247515988