What is the Least Common Multiple of 40159 and 40178?
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 40159 and 40178 is 1613508302.
LCM(40159,40178) = 1613508302
Least Common Multiple of 40159 and 40178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40159 and 40178, than apply into the LCM equation.
GCF(40159,40178) = 1
LCM(40159,40178) = ( 40159 × 40178) / 1
LCM(40159,40178) = 1613508302 / 1
LCM(40159,40178) = 1613508302
Least Common Multiple (LCM) of 40159 and 40178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40159 and 40178. First we will calculate the prime factors of 40159 and 40178.
Prime Factorization of 40159
Prime factors of 40159 are 7, 5737. Prime factorization of 40159 in exponential form is:
40159 = 71 × 57371
Prime Factorization of 40178
Prime factors of 40178 are 2, 20089. Prime factorization of 40178 in exponential form is:
40178 = 21 × 200891
Now multiplying the highest exponent prime factors to calculate the LCM of 40159 and 40178.
LCM(40159,40178) = 71 × 57371 × 21 × 200891
LCM(40159,40178) = 1613508302
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