What is the Least Common Multiple of 41755 and 41762?
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 41755 and 41762 is 249110330.
LCM(41755,41762) = 249110330
Least Common Multiple of 41755 and 41762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41755 and 41762, than apply into the LCM equation.
GCF(41755,41762) = 7
LCM(41755,41762) = ( 41755 × 41762) / 7
LCM(41755,41762) = 1743772310 / 7
LCM(41755,41762) = 249110330
Least Common Multiple (LCM) of 41755 and 41762 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41755 and 41762. First we will calculate the prime factors of 41755 and 41762.
Prime Factorization of 41755
Prime factors of 41755 are 5, 7, 1193. Prime factorization of 41755 in exponential form is:
41755 = 51 × 71 × 11931
Prime Factorization of 41762
Prime factors of 41762 are 2, 7, 19, 157. Prime factorization of 41762 in exponential form is:
41762 = 21 × 71 × 191 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 41755 and 41762.
LCM(41755,41762) = 51 × 71 × 11931 × 21 × 191 × 1571
LCM(41755,41762) = 249110330
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