What is the Least Common Multiple of 88742 and 88751?
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 88742 and 88751 is 7875941242.
LCM(88742,88751) = 7875941242
Least Common Multiple of 88742 and 88751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88742 and 88751, than apply into the LCM equation.
GCF(88742,88751) = 1
LCM(88742,88751) = ( 88742 × 88751) / 1
LCM(88742,88751) = 7875941242 / 1
LCM(88742,88751) = 7875941242
Least Common Multiple (LCM) of 88742 and 88751 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88742 and 88751. First we will calculate the prime factors of 88742 and 88751.
Prime Factorization of 88742
Prime factors of 88742 are 2, 44371. Prime factorization of 88742 in exponential form is:
88742 = 21 × 443711
Prime Factorization of 88751
Prime factors of 88751 are 13, 6827. Prime factorization of 88751 in exponential form is:
88751 = 131 × 68271
Now multiplying the highest exponent prime factors to calculate the LCM of 88742 and 88751.
LCM(88742,88751) = 21 × 443711 × 131 × 68271
LCM(88742,88751) = 7875941242
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