What is the Least Common Multiple of 94718 and 94722?
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 94718 and 94722 is 4485939198.
LCM(94718,94722) = 4485939198
Least Common Multiple of 94718 and 94722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94718 and 94722, than apply into the LCM equation.
GCF(94718,94722) = 2
LCM(94718,94722) = ( 94718 × 94722) / 2
LCM(94718,94722) = 8971878396 / 2
LCM(94718,94722) = 4485939198
Least Common Multiple (LCM) of 94718 and 94722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94718 and 94722. First we will calculate the prime factors of 94718 and 94722.
Prime Factorization of 94718
Prime factors of 94718 are 2, 13, 3643. Prime factorization of 94718 in exponential form is:
94718 = 21 × 131 × 36431
Prime Factorization of 94722
Prime factors of 94722 are 2, 3, 15787. Prime factorization of 94722 in exponential form is:
94722 = 21 × 31 × 157871
Now multiplying the highest exponent prime factors to calculate the LCM of 94718 and 94722.
LCM(94718,94722) = 21 × 131 × 36431 × 31 × 157871
LCM(94718,94722) = 4485939198
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