What is the Least Common Multiple of 40276 and 40295?
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 40276 and 40295 is 1622921420.
LCM(40276,40295) = 1622921420
Least Common Multiple of 40276 and 40295 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40276 and 40295, than apply into the LCM equation.
GCF(40276,40295) = 1
LCM(40276,40295) = ( 40276 × 40295) / 1
LCM(40276,40295) = 1622921420 / 1
LCM(40276,40295) = 1622921420
Least Common Multiple (LCM) of 40276 and 40295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40276 and 40295. First we will calculate the prime factors of 40276 and 40295.
Prime Factorization of 40276
Prime factors of 40276 are 2, 10069. Prime factorization of 40276 in exponential form is:
40276 = 22 × 100691
Prime Factorization of 40295
Prime factors of 40295 are 5, 8059. Prime factorization of 40295 in exponential form is:
40295 = 51 × 80591
Now multiplying the highest exponent prime factors to calculate the LCM of 40276 and 40295.
LCM(40276,40295) = 22 × 100691 × 51 × 80591
LCM(40276,40295) = 1622921420
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