What is the Least Common Multiple of 70350 and 70365?

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 70350 and 70365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70350 and 70365, than apply into the LCM equation.

GCF(70350,70365) = 15
LCM(70350,70365) = ( 70350 × 70365) / 15
LCM(70350,70365) = 4950177750 / 15
LCM(70350,70365) = 330011850

Least Common Multiple (LCM) of 70350 and 70365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70350 and 70365. First we will calculate the prime factors of 70350 and 70365.

Prime Factorization of 70350

Prime Factorization of 70365

Now multiplying the highest exponent prime factors to calculate the LCM of 70350 and 70365.

LCM(70350,70365) = 2¹ × 3¹ × 5² × 7¹ × 67¹ × 4691¹
LCM(70350,70365) = 330011850