What is the Least Common Multiple of 49059 and 49072?
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 49059 and 49072 is 2407423248.
LCM(49059,49072) = 2407423248
Least Common Multiple of 49059 and 49072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49059 and 49072, than apply into the LCM equation.
GCF(49059,49072) = 1
LCM(49059,49072) = ( 49059 × 49072) / 1
LCM(49059,49072) = 2407423248 / 1
LCM(49059,49072) = 2407423248
Least Common Multiple (LCM) of 49059 and 49072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49059 and 49072. First we will calculate the prime factors of 49059 and 49072.
Prime Factorization of 49059
Prime factors of 49059 are 3, 23, 79. Prime factorization of 49059 in exponential form is:
49059 = 33 × 231 × 791
Prime Factorization of 49072
Prime factors of 49072 are 2, 3067. Prime factorization of 49072 in exponential form is:
49072 = 24 × 30671
Now multiplying the highest exponent prime factors to calculate the LCM of 49059 and 49072.
LCM(49059,49072) = 33 × 231 × 791 × 24 × 30671
LCM(49059,49072) = 2407423248
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