What is the Least Common Multiple of 14064 and 14070?

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 14064 and 14070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14064 and 14070, than apply into the LCM equation.

GCF(14064,14070) = 6
LCM(14064,14070) = ( 14064 × 14070) / 6
LCM(14064,14070) = 197880480 / 6
LCM(14064,14070) = 32980080

Least Common Multiple (LCM) of 14064 and 14070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14064 and 14070. First we will calculate the prime factors of 14064 and 14070.

Prime Factorization of 14064

Prime Factorization of 14070

Now multiplying the highest exponent prime factors to calculate the LCM of 14064 and 14070.

LCM(14064,14070) = 2⁴ × 3¹ × 293¹ × 5¹ × 7¹ × 67¹
LCM(14064,14070) = 32980080