What is the Least Common Multiple of 93722 and 93726?
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 93722 and 93726 is 4392094086.
LCM(93722,93726) = 4392094086
Least Common Multiple of 93722 and 93726 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93722 and 93726, than apply into the LCM equation.
GCF(93722,93726) = 2
LCM(93722,93726) = ( 93722 × 93726) / 2
LCM(93722,93726) = 8784188172 / 2
LCM(93722,93726) = 4392094086
Least Common Multiple (LCM) of 93722 and 93726 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93722 and 93726. First we will calculate the prime factors of 93722 and 93726.
Prime Factorization of 93722
Prime factors of 93722 are 2, 46861. Prime factorization of 93722 in exponential form is:
93722 = 21 × 468611
Prime Factorization of 93726
Prime factors of 93726 are 2, 3, 41, 127. Prime factorization of 93726 in exponential form is:
93726 = 21 × 32 × 411 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 93722 and 93726.
LCM(93722,93726) = 21 × 468611 × 32 × 411 × 1271
LCM(93722,93726) = 4392094086
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