What is the Least Common Multiple of 94759 and 94767?
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 94759 and 94767 is 8980026153.
LCM(94759,94767) = 8980026153
Least Common Multiple of 94759 and 94767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94759 and 94767, than apply into the LCM equation.
GCF(94759,94767) = 1
LCM(94759,94767) = ( 94759 × 94767) / 1
LCM(94759,94767) = 8980026153 / 1
LCM(94759,94767) = 8980026153
Least Common Multiple (LCM) of 94759 and 94767 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94759 and 94767. First we will calculate the prime factors of 94759 and 94767.
Prime Factorization of 94759
Prime factors of 94759 are 7, 13537. Prime factorization of 94759 in exponential form is:
94759 = 71 × 135371
Prime Factorization of 94767
Prime factors of 94767 are 3, 31, 1019. Prime factorization of 94767 in exponential form is:
94767 = 31 × 311 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 94759 and 94767.
LCM(94759,94767) = 71 × 135371 × 31 × 311 × 10191
LCM(94759,94767) = 8980026153
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