What is the Least Common Multiple of 837 and 852?
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 837 and 852 is 237708.
LCM(837,852) = 237708
Least Common Multiple of 837 and 852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 837 and 852, than apply into the LCM equation.
GCF(837,852) = 3
LCM(837,852) = ( 837 × 852) / 3
LCM(837,852) = 713124 / 3
LCM(837,852) = 237708
Least Common Multiple (LCM) of 837 and 852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 852. First we will calculate the prime factors of 837 and 852.
Prime Factorization of 837
Prime factors of 837 are 3, 31. Prime factorization of 837 in exponential form is:
837 = 33 × 311
Prime Factorization of 852
Prime factors of 852 are 2, 3, 71. Prime factorization of 852 in exponential form is:
852 = 22 × 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 837 and 852.
LCM(837,852) = 33 × 311 × 22 × 711
LCM(837,852) = 237708
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