What is the Least Common Multiple of 49837 and 49852?
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 49837 and 49852 is 2484474124.
LCM(49837,49852) = 2484474124
Least Common Multiple of 49837 and 49852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49837 and 49852, than apply into the LCM equation.
GCF(49837,49852) = 1
LCM(49837,49852) = ( 49837 × 49852) / 1
LCM(49837,49852) = 2484474124 / 1
LCM(49837,49852) = 2484474124
Least Common Multiple (LCM) of 49837 and 49852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49837 and 49852. First we will calculate the prime factors of 49837 and 49852.
Prime Factorization of 49837
Prime factors of 49837 are 19, 43, 61. Prime factorization of 49837 in exponential form is:
49837 = 191 × 431 × 611
Prime Factorization of 49852
Prime factors of 49852 are 2, 11, 103. Prime factorization of 49852 in exponential form is:
49852 = 22 × 112 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 49837 and 49852.
LCM(49837,49852) = 191 × 431 × 611 × 22 × 112 × 1031
LCM(49837,49852) = 2484474124
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