What is the Least Common Multiple of 48442 and 48454?
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 48442 and 48454 is 1173604334.
LCM(48442,48454) = 1173604334
Least Common Multiple of 48442 and 48454 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48442 and 48454, than apply into the LCM equation.
GCF(48442,48454) = 2
LCM(48442,48454) = ( 48442 × 48454) / 2
LCM(48442,48454) = 2347208668 / 2
LCM(48442,48454) = 1173604334
Least Common Multiple (LCM) of 48442 and 48454 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48442 and 48454. First we will calculate the prime factors of 48442 and 48454.
Prime Factorization of 48442
Prime factors of 48442 are 2, 53, 457. Prime factorization of 48442 in exponential form is:
48442 = 21 × 531 × 4571
Prime Factorization of 48454
Prime factors of 48454 are 2, 7, 3461. Prime factorization of 48454 in exponential form is:
48454 = 21 × 71 × 34611
Now multiplying the highest exponent prime factors to calculate the LCM of 48442 and 48454.
LCM(48442,48454) = 21 × 531 × 4571 × 71 × 34611
LCM(48442,48454) = 1173604334
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