What is the Least Common Multiple of 30921 and 30941?
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 30921 and 30941 is 956726661.
LCM(30921,30941) = 956726661
Least Common Multiple of 30921 and 30941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30921 and 30941, than apply into the LCM equation.
GCF(30921,30941) = 1
LCM(30921,30941) = ( 30921 × 30941) / 1
LCM(30921,30941) = 956726661 / 1
LCM(30921,30941) = 956726661
Least Common Multiple (LCM) of 30921 and 30941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30921 and 30941. First we will calculate the prime factors of 30921 and 30941.
Prime Factorization of 30921
Prime factors of 30921 are 3, 11, 937. Prime factorization of 30921 in exponential form is:
30921 = 31 × 111 × 9371
Prime Factorization of 30941
Prime factors of 30941 are 30941. Prime factorization of 30941 in exponential form is:
30941 = 309411
Now multiplying the highest exponent prime factors to calculate the LCM of 30921 and 30941.
LCM(30921,30941) = 31 × 111 × 9371 × 309411
LCM(30921,30941) = 956726661
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