What is the Least Common Multiple of 68050 and 68070?

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 68050 and 68070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68050 and 68070, than apply into the LCM equation.

GCF(68050,68070) = 10
LCM(68050,68070) = ( 68050 × 68070) / 10
LCM(68050,68070) = 4632163500 / 10
LCM(68050,68070) = 463216350

Least Common Multiple (LCM) of 68050 and 68070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68050 and 68070. First we will calculate the prime factors of 68050 and 68070.

Prime Factorization of 68050

Prime Factorization of 68070

Now multiplying the highest exponent prime factors to calculate the LCM of 68050 and 68070.

LCM(68050,68070) = 2¹ × 5² × 1361¹ × 3¹ × 2269¹
LCM(68050,68070) = 463216350