What is the Least Common Multiple of 67340 and 67347?

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 67340 and 67347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67340 and 67347, than apply into the LCM equation.

GCF(67340,67347) = 7
LCM(67340,67347) = ( 67340 × 67347) / 7
LCM(67340,67347) = 4535146980 / 7
LCM(67340,67347) = 647878140

Least Common Multiple (LCM) of 67340 and 67347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67340 and 67347. First we will calculate the prime factors of 67340 and 67347.

Prime Factorization of 67340

Prime Factorization of 67347

Now multiplying the highest exponent prime factors to calculate the LCM of 67340 and 67347.

LCM(67340,67347) = 2² × 5¹ × 7¹ × 13¹ × 37¹ × 3² × 1069¹
LCM(67340,67347) = 647878140