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What is the Least Common Multiple of 45847 and 45852?

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 (LCM) of 45847 and 45852 is 2102176644.

LCM(45847,45852) = 2102176644

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Least Common Multiple of 45847 and 45852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45847 and 45852, than apply into the LCM equation.

GCF(45847,45852) = 1
LCM(45847,45852) = ( 45847 × 45852) / 1
LCM(45847,45852) = 2102176644 / 1
LCM(45847,45852) = 2102176644

Least Common Multiple (LCM) of 45847 and 45852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45847 and 45852. First we will calculate the prime factors of 45847 and 45852.

Prime Factorization of 45847

Prime factors of 45847 are 19, 127. Prime factorization of 45847 in exponential form is:

45847 = 192 × 1271

Prime Factorization of 45852

Prime factors of 45852 are 2, 3, 3821. Prime factorization of 45852 in exponential form is:

45852 = 22 × 31 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 45847 and 45852.

LCM(45847,45852) = 192 × 1271 × 22 × 31 × 38211
LCM(45847,45852) = 2102176644