What is the Least Common Multiple of 94690 and 94701?
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 94690 and 94701 is 8967237690.
LCM(94690,94701) = 8967237690
Least Common Multiple of 94690 and 94701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94690 and 94701, than apply into the LCM equation.
GCF(94690,94701) = 1
LCM(94690,94701) = ( 94690 × 94701) / 1
LCM(94690,94701) = 8967237690 / 1
LCM(94690,94701) = 8967237690
Least Common Multiple (LCM) of 94690 and 94701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94690 and 94701. First we will calculate the prime factors of 94690 and 94701.
Prime Factorization of 94690
Prime factors of 94690 are 2, 5, 17, 557. Prime factorization of 94690 in exponential form is:
94690 = 21 × 51 × 171 × 5571
Prime Factorization of 94701
Prime factors of 94701 are 3, 31567. Prime factorization of 94701 in exponential form is:
94701 = 31 × 315671
Now multiplying the highest exponent prime factors to calculate the LCM of 94690 and 94701.
LCM(94690,94701) = 21 × 51 × 171 × 5571 × 31 × 315671
LCM(94690,94701) = 8967237690
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