What is the Least Common Multiple of 77486 and 77495?
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 77486 and 77495 is 6004777570.
LCM(77486,77495) = 6004777570
Least Common Multiple of 77486 and 77495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77486 and 77495, than apply into the LCM equation.
GCF(77486,77495) = 1
LCM(77486,77495) = ( 77486 × 77495) / 1
LCM(77486,77495) = 6004777570 / 1
LCM(77486,77495) = 6004777570
Least Common Multiple (LCM) of 77486 and 77495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77486 and 77495. First we will calculate the prime factors of 77486 and 77495.
Prime Factorization of 77486
Prime factors of 77486 are 2, 17, 43, 53. Prime factorization of 77486 in exponential form is:
77486 = 21 × 171 × 431 × 531
Prime Factorization of 77495
Prime factors of 77495 are 5, 11, 1409. Prime factorization of 77495 in exponential form is:
77495 = 51 × 111 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 77486 and 77495.
LCM(77486,77495) = 21 × 171 × 431 × 531 × 51 × 111 × 14091
LCM(77486,77495) = 6004777570
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