What is the Least Common Multiple of 73747 and 73751?
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 73747 and 73751 is 5438914997.
LCM(73747,73751) = 5438914997
Least Common Multiple of 73747 and 73751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73747 and 73751, than apply into the LCM equation.
GCF(73747,73751) = 1
LCM(73747,73751) = ( 73747 × 73751) / 1
LCM(73747,73751) = 5438914997 / 1
LCM(73747,73751) = 5438914997
Least Common Multiple (LCM) of 73747 and 73751 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73747 and 73751. First we will calculate the prime factors of 73747 and 73751.
Prime Factorization of 73747
Prime factors of 73747 are 29, 2543. Prime factorization of 73747 in exponential form is:
73747 = 291 × 25431
Prime Factorization of 73751
Prime factors of 73751 are 73751. Prime factorization of 73751 in exponential form is:
73751 = 737511
Now multiplying the highest exponent prime factors to calculate the LCM of 73747 and 73751.
LCM(73747,73751) = 291 × 25431 × 737511
LCM(73747,73751) = 5438914997
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