What is the Least Common Multiple of 60926 and 60941?
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 60926 and 60941 is 3712891366.
LCM(60926,60941) = 3712891366
Least Common Multiple of 60926 and 60941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60926 and 60941, than apply into the LCM equation.
GCF(60926,60941) = 1
LCM(60926,60941) = ( 60926 × 60941) / 1
LCM(60926,60941) = 3712891366 / 1
LCM(60926,60941) = 3712891366
Least Common Multiple (LCM) of 60926 and 60941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60926 and 60941. First we will calculate the prime factors of 60926 and 60941.
Prime Factorization of 60926
Prime factors of 60926 are 2, 41, 743. Prime factorization of 60926 in exponential form is:
60926 = 21 × 411 × 7431
Prime Factorization of 60941
Prime factors of 60941 are 149, 409. Prime factorization of 60941 in exponential form is:
60941 = 1491 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 60926 and 60941.
LCM(60926,60941) = 21 × 411 × 7431 × 1491 × 4091
LCM(60926,60941) = 3712891366
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