What is the Least Common Multiple of 89077 and 89081?
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 89077 and 89081 is 7935068237.
LCM(89077,89081) = 7935068237
Least Common Multiple of 89077 and 89081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89077 and 89081, than apply into the LCM equation.
GCF(89077,89081) = 1
LCM(89077,89081) = ( 89077 × 89081) / 1
LCM(89077,89081) = 7935068237 / 1
LCM(89077,89081) = 7935068237
Least Common Multiple (LCM) of 89077 and 89081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89077 and 89081. First we will calculate the prime factors of 89077 and 89081.
Prime Factorization of 89077
Prime factors of 89077 are 281, 317. Prime factorization of 89077 in exponential form is:
89077 = 2811 × 3171
Prime Factorization of 89081
Prime factors of 89081 are 229, 389. Prime factorization of 89081 in exponential form is:
89081 = 2291 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 89077 and 89081.
LCM(89077,89081) = 2811 × 3171 × 2291 × 3891
LCM(89077,89081) = 7935068237
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