What is the Least Common Multiple of 37212 and 37221?
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 37212 and 37221 is 461689284.
LCM(37212,37221) = 461689284
Least Common Multiple of 37212 and 37221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37212 and 37221, than apply into the LCM equation.
GCF(37212,37221) = 3
LCM(37212,37221) = ( 37212 × 37221) / 3
LCM(37212,37221) = 1385067852 / 3
LCM(37212,37221) = 461689284
Least Common Multiple (LCM) of 37212 and 37221 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37212 and 37221. First we will calculate the prime factors of 37212 and 37221.
Prime Factorization of 37212
Prime factors of 37212 are 2, 3, 7, 443. Prime factorization of 37212 in exponential form is:
37212 = 22 × 31 × 71 × 4431
Prime Factorization of 37221
Prime factors of 37221 are 3, 19, 653. Prime factorization of 37221 in exponential form is:
37221 = 31 × 191 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 37212 and 37221.
LCM(37212,37221) = 22 × 31 × 71 × 4431 × 191 × 6531
LCM(37212,37221) = 461689284
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