What is the Least Common Multiple of 70330 and 70347?

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 70330 and 70347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70330 and 70347, than apply into the LCM equation.

GCF(70330,70347) = 1
LCM(70330,70347) = ( 70330 × 70347) / 1
LCM(70330,70347) = 4947504510 / 1
LCM(70330,70347) = 4947504510

Least Common Multiple (LCM) of 70330 and 70347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70330 and 70347. First we will calculate the prime factors of 70330 and 70347.

Prime Factorization of 70330

Prime Factorization of 70347

Now multiplying the highest exponent prime factors to calculate the LCM of 70330 and 70347.

LCM(70330,70347) = 2¹ × 5¹ × 13¹ × 541¹ × 3¹ × 131¹ × 179¹
LCM(70330,70347) = 4947504510