What is the Least Common Multiple of 88087 and 88092?
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 88087 and 88092 is 7759760004.
LCM(88087,88092) = 7759760004
Least Common Multiple of 88087 and 88092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88087 and 88092, than apply into the LCM equation.
GCF(88087,88092) = 1
LCM(88087,88092) = ( 88087 × 88092) / 1
LCM(88087,88092) = 7759760004 / 1
LCM(88087,88092) = 7759760004
Least Common Multiple (LCM) of 88087 and 88092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88087 and 88092. First we will calculate the prime factors of 88087 and 88092.
Prime Factorization of 88087
Prime factors of 88087 are 59, 1493. Prime factorization of 88087 in exponential form is:
88087 = 591 × 14931
Prime Factorization of 88092
Prime factors of 88092 are 2, 3, 2447. Prime factorization of 88092 in exponential form is:
88092 = 22 × 32 × 24471
Now multiplying the highest exponent prime factors to calculate the LCM of 88087 and 88092.
LCM(88087,88092) = 591 × 14931 × 22 × 32 × 24471
LCM(88087,88092) = 7759760004
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